Answer:
2 and -3
Step-by-step explanation:
because a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
so in 2x-3y+5, 2 and -3 are the coefficients.
Answer: 15
Step by step explanation:
Answer:
Length = 45 inches and Width = 20 inches
Step-by-step explanation:
Let the width be w.
Length(l)=2.25w
Area = 900 in^2
The formula for the area of a rectangle is Area = length * width
So substituting our values we get:

So we get width = 20 inches
Length = 2.25w
so Length= 2.25*20
=45 inches
Hi Eli!
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We Know:
1 1/2 cups of flour.
3/4 cup of white sugar.
1/8 cup of brown sugar.
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Part A:
I can't use a number line answering this question but you can create one with the steps I tell you.
First find common denominators:
1 1/2 = 3/2 = 12/8
3/4 = 6/8
1/8
Create a number that goes from 0/8 to 12/8, which means put a number with 12, 1/8 plots on it. Then plot 12/8, 6/8, and 1/8 in order in the number line.
Find out the total number of cups used:
12/8 + 6/8 + 1/8 = 19/8
Simplify:
19/8 = 2 3/84
Part A Answer: There are <u>2 3/8 cups</u> used all together.
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Part B:
Part B Answer: The <u>3 cup bowl</u> would work perfectly.
Why: The reason you would want to choose the 3 cup bowl is because it fits all the ingredients perfectly, the 3 cup bowl is greater than the 2 3/8 cups they used. You can't use 2 cups because it is less than the total cups of ingredients. The 4 bowl you could use but it is too big.
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Hope This Helps :)
Answer:
width = 5 feet
length = 11 feet
Step-by-step explanation:
Using one variable and setting up two expressions equal to the total area of the rectangle will determine the dimensions of the rectangle.
w = width
l = '4 feet less than three times the width' or 3w - 4
Area = length x width
A = w(3w - 4) = 55
Distribute: 3w² - 4w = 55
Set equation equal to '0': 3w² - 4w - 55 = 0
Multiply 3 x -55 = -165 and find two factors with a product of -165 and sum of -4: -15 and 11.
3w² - 15w + 11w - 55
Group and find the GCF (greatest common factor):
3w(w - 5) + 11(w - 5)
(3w + 11)(w - 5) = 0
3w + 11 = 0 and w - 5 = 0
w = -11/3 not possible to have negative measurement
w = 5 feet
Solve for length: 3(5) - 4 = 11 feet